1 / 15

How can I use what I know about linear relationships to create my own compound inequalities?

How can I use what I know about linear relationships to create my own compound inequalities?. For example: I want to buy DVDs, and I want to spend at least $32, and at most $92. Each DVD costs $12. How many can I buy? .

charo
Download Presentation

How can I use what I know about linear relationships to create my own compound inequalities?

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. How can I use what I know about linear relationships to create my own compound inequalities? For example: I want to buy DVDs, and I want to spend at least $32, and at most $92. Each DVD costs $12. How many can I buy?

  2. In this lesson you will learn how to create compound linear inequalities by identifying relationships between important information.

  3. or: Only one statement needs to be true. Graph of the solution set extends from boundary points to ∞or -∞ Compound linear inequality: two linear inequalities joined by the words “and” or “or” and: Both statements need to be true. Graph of the solution set is between two numbers

  4. Greater than > Greater than or equal to ≥ Less than < Less than or equal to ≤

  5. You can solve linear inequalities the same way that you solve linear equations. 3x + 7 > 25 -7 -7 3x = 18 x > 6 Additive and multiplicative inverses

  6. Identifying a problem as a compound inequality but writing only one part of the inequality I need between 3 and 4 ounces of milk. Can I write it like this? m > 3?

  7. Suppose I want to order DVDs online. Each DVD costs $12, and shipping is $8 for the entire order. I need to spend at least $32 in order for them to ship the order to me, but I have only $92 to spend. How many DVDs can I order?

  8. At least $32 Have only $92 $12 per DVD $8 for shipping 32 ≤ 12D + 8 0 5 12D + 8 ≤ 92 2 ≤ D ≤ 7

  9. In this lesson you have learned to create compound linear inequalities by identifying relationships between important information.

  10. Write a compound linear inequality to model the following problem: The lengths of the sides of a triangle are in the ratio 5:12:13. Find the length of the longest side if the perimeter is between 30 and 45 inches.

  11. Write an inequality story. Trade it with a friend. Write compound inequalities to match the story.

  12. Find take-out menus from restaurants. Create and solve inequalities to order meals for a given amount of people but stay between two total amounts of money.

  13. Choose a value for “The Mystery Number” and have your friend ask yes/no questions pertaining to inequalities in order to guess the correct value.

  14. Write a compound inequality to model the following problem: A house painter mixing paints needs between 4 and 5 liters of an off-white mixture that contains ten times as much white paint as brown. What are possible numbers of liters the painter can use of each color?

  15. Write a compound inequality to model the following problem: Suppose you are trying out for your school’s cross country team. If you run slower than a 9-minute mile, you are cut from the team. If you run faster than a 6½-minute miles, you move to the Varsity team. You will be running a 3-mile course, and your coach allows a ½ minute cushion in case there are any problems on the course. What times for the course will result in your making the Junior Varsity team?

More Related